A boundary
element method is presented for solving a non-linear free surface flow problem
for a ship moving with a uniform speed in deep water. The free surface boundary
condition is linearized by the systematic method of perturbation in terms of a
small parameter. The surfaces are discretized into flat quadrilateral elements
and the influence coefficients are calculated by Morino’s analytical formula. Dawson’s upstream finite
difference operator is used in order to satisfy the radiation condition. The
method of solution is based on the distribution of sources and dipoles on the
body and the free surface, which will be obtained by a matrix solution. The
matrix is solved by the L-U decomposition method. A verification of the
numerical modelling is made using the Wigley hull and validity of the computer
program is examined by comparing the details of wave profiles and wave-making
resistance with the experimental result. The wave pattern consisting of
transverse and diverging waves around ships in deep water is well predicted
numerically.

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